Weyl conjecture and thermal radiation of finite systems
arXiv:2301.03623 · doi:10.1088/1751-8121/acb09b
Abstract
In this work, corrections for the Weyl law and Weyl conjecture in d dimensions are obtained and effects related to the polarization and area term are analyzed. The derived formalism is applied on the quasithermodynamics of the electromagnetic field in a finite -dimensional box within a semi-classical treatment. In this context, corrections to the Stefan-Boltzmann law are obtained. Special attention is given to the two-dimensional scenario, since it can be used in the characterization of experimental setups. Another application concerns acoustic perturbations in a quasithermodynamic generalization of Debye model for a finite solid in d dimensions. Extensions and corrections for known results and usual formulas, such as the Debye frequency and Dulong-Petit law, are calculated.
21 pages, 2 figures. To be published in Journal of Physics A
References in corpus (7)
- Two Dimensional Atomic Crystals
- 100 years of Weyl's law
- Stability and thermodynamics of brane black holes
- Greybody factors for rotating black holes in higher dimensions
- Finite size corrections to the blackbody radiation laws
- Thermodynamics of quantum photon spheres
- Quasithermodynamics and a Correction to the Stefan--Boltzmann Law